Gina is comparing the membership fees for two museums. The art museum charges a one-time fee of $7.25 plus $3.50 per month. - The science museum charges a one-time fee of $10.50 plus $4.50 per month. How much does she save after m months by joining the art museum instead of the science museum? (Hint: write the expressions for the art museum and the science museum FIRST and then find the difference)​

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Step-by-step explanation:

The art museum charges a one-time fee of $8.25 plus $2.25 per month.

So, the cost function for membership for x months in the art museum f(x) = 8.25 + 2.25x (1)

Again, the science museum charges a one-time fee of $10.75 plus $3.5 per month.

Hence, the cost function for membership for x months in the science museum g(x) = 10.75 + 3.5x (2)

So, from both the equations it is clear that for only joining the monthly charges are zero.

So, f(0) = 8.25 and g(0) = 10.75.

Therefore, Barrett will save by joining the art museum instead of the science museum by $(10.75 - 8.25) = $2.5. (Answer)

Step-by-step explanation:

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

a. she will receive a refund of $278.

step-by-step explanation: